Geodesic
Approximation of Differentiable Functions in the Uniform Metric
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Studies on function theory and differential equations, Tome 248 (2005), pp. 223-236.

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The relationship between pointwise approximation of continuous functions by algebraic polynomials on a closed interval and a pointwise structural characteristic of differentiable functions is considered. 
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M. K. Potapov. Approximation of Differentiable Functions in the Uniform Metric. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Studies on function theory and differential equations, Tome 248 (2005), pp. 223-236. http://geodesic.mathdoc.fr/item/TM_2005_248_a20/

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